Determine the vertex of the graph of function


1) Compute all numbers x such that 4x+3/x-3 = 3x-2/x-2

2) Determine the vertex of the graph of function f(x)=5x^2+2x+1

3) Compute the distance points (-3,-6) and (-9,-3)

4) Determine center and radius of circle x^2+5x+y^2-8y=7

5) Assume p(x)=x^2+7x+9 and q(x)=9x^3-3x+10. Write indicated expression as the polynomial. (8p+9q)(x)

6) Compute all real numbers x such that x^4-6x^2-16=0

7) Assume s(x)=5x^3-3. Write the indicated expression as a polynomial. s(4+x)x-s(4)

8) Assume p(x)=x^2+5x+2 and s(x)=4x^3-2. Write indicated expression as the polynomial. (p*s)(x)

9) Determine the number c such that -2 is a zero of polynomial p defined by p(x)=5-5x+4x^2+cx^3.

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Mathematics: Determine the vertex of the graph of function
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